Search a number
-
+
15264893424 = 24311213120063
BaseRepresentation
bin11100011011101101…
…11100100111110000
31110101211120221011010
432031312330213300
5222230303042144
611002415350520
71050164311314
oct161566744760
943354527133
1015264893424
1165236a8400
122b60222440
1315936a4721
14a4b499b44
155e51db5b9
hex38ddbc9f0

15264893424 has 120 divisors (see below), whose sum is σ = 43678204416. Its totient is φ = 4590185600.

The previous prime is 15264893411. The next prime is 15264893503. The reversal of 15264893424 is 42439846251.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 750817 + ... + 770879.

Almost surely, 215264893424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15264893424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21839102208).

15264893424 is an abundant number, since it is smaller than the sum of its proper divisors (28413310992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

15264893424 is a wasteful number, since it uses less digits than its factorization.

15264893424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20227 (or 20210 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The spelling of 15264893424 in words is "fifteen billion, two hundred sixty-four million, eight hundred ninety-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 131 132 176 242 262 264 363 393 484 524 528 726 786 968 1048 1441 1452 1572 1936 2096 2882 2904 3144 4323 5764 5808 6288 8646 11528 15851 17292 20063 23056 31702 34584 40126 47553 60189 63404 69168 80252 95106 120378 126808 160504 190212 220693 240756 253616 321008 380424 441386 481512 662079 760848 882772 963024 1324158 1765544 2427623 2628253 2648316 3531088 4855246 5256506 5296632 7282869 7884759 9710492 10513012 10593264 14565738 15769518 19420984 21026024 28910783 29131476 31539036 38841968 42052048 57821566 58262952 63078072 86732349 115643132 116525904 126156144 173464698 231286264 318018613 346929396 462572528 636037226 693858792 954055839 1272074452 1387717584 1908111678 2544148904 3816223356 5088297808 7632446712 15264893424